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Finding the Fourth Proportional to 4,892.65, 7,338.94 and 1,194.89

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Solution

The fourth proportional to 4,892.65, 7,338.94 and 1,194.89 is: 1,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.65 : 7,338.94 = 1,194.89 : x
  2. Step 2: Convert to fraction form
    4,892.65/7,338.94 = 1,194.89/x
  3. Step 3: Cross multiply
    4,892.65x = 7,338.94 × 1,194.89
  4. Step 4: Simplify right side
    4,892.65x = 8,769,261.86
  5. Step 5: Solve for x
    x = 8,769,261.86/4,892.65
  6. Step 6: Final answer
    x = 1,792.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.